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LargestPart on IntegerPartition ​

The largest part.

On IntegerPartition

Called as CombinatorialStat(x, "LargestPart"). The head's page has its examples.

Live

FindStat St000147

The largest part of an integer partition.

ObjectValue
[]0
[1]1
[2]2
[3]3
[4]4
[5]5
[6]6
[7]7

Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000147 has the rest.